Solve each exponential equation. Express irrational solutions in exact form and as a decimal rounded to three decimal places. $2^{x+1}=5^{1-2 x}$

Mark Texeira hit a baseball with an initial speed of 125 feet per second at an angle of $40^{\circ}$ to the horizontal. The ball was hit at a height of 3 feet off the ground. Determine the horizontal distance that the ball travelled.

A jeweler crates triangular earrings by bending pieces of silver wire. Each earring is an isosceles triangle with the dimen

Suppose $\int_{1}^{3} f(x) d x=10 \text { and } \int_{1}^{3} g(x) d x=-20$. Evaluate $\int_{1}^{3}(2 f(x)-4 g(x)) d x\$and$\int_{3}^{1}(2 f(x)-4 g(x)) d x$

Add.

$$15+(-8)$$

The proposals in the excerpt best represent a continuation of the policies of which previous presidential administration? a. Woodrow Wilson b. Franklin Roosevelt c. Lyndon Johnson d. Ronald Reagan

What is the chemical formula of iron(III) sulfide? (1) $\mathbf{F e}_{2}\left(\mathbf{S O}_{3}\right)_{3}$ (2) $\mathrm{Fe}_{2} \mathrm{S}_{3}$ (3) $\mathrm{FeSO}_{3}$ (4) $FeS$

Find each quotient. $\frac{2-3 i}{2+3 i}$

Express each union or intersection in simplest interval form. $(4, \infty) \cup(9, \infty)$

What is the mean of 4.2, 4.8, and 5.1?

A product will break even or produce a profit only if the revenue R (in dollars) from selling the product is at least equal to the cost C (in dollars) of producing it. Suppose that the cost to produce x units of carpet is C=50x+5000, while the revenue is R=60x. For what values of x is R at least equal to C?

Let the universe be the set U={1,2,3,...,10}. Let A={1,4,7,10}, B={1,2,3,4,5}, and C={2,4,6,8}. List the elements of each set.

$$(A\cup B)-(C-B)$$

What events does Angier describe at the beginning of the article?

Use a spreadsheet program to represent the data for each table. $$ \begin{matrix} \text{Abigail's Summer Earnings }\mathrm{($)} \\ \text{Month} & \text{Carnival Ride Operator} & \text{Lawn Mowing}\\ \text{May} & \text{40} & \text{72}\\ \text{June} & \text{65} & \text{80}\\ \text{July} & \text{75} & \text{60}\\ \text{August} & \text{100} & \text{70}\\ \end{matrix} $$ Represent the data by making a double-bar graph and a double-line graph. On a separate sheet of paper sketch the displayed graphs.